On local weak τ-density of topological spaces | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2021. № 70. DOI: 10.17223/19988621/70/2

On local weak τ-density of topological spaces

Questions of local weak τ-density of topological spaces are studied. Sufficient conditions are found for the preservation of the property of local weak τ-density of subsets of topological spaces. It is shown that a subset of a locally dense space is also locally weakly τ-dense if it satisfies at least one of the following conditions: a) the subset is open in space; b) the subset is everywhere dense in space; c) the subset is canonically closed in space.

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Keywords

local τ-density, local weak т-density, locally compact space, Hattori spaces

Authors

NameOrganizationE-mail
Mukhamadiev Farkhod G.National University of Uzbekistanfarhod8717@mail.ru
Всего: 1

References

Александров П.С., Федорчук В.В., Зайцев В.И. Основные моменты в развитии теоретикомножественной топологии // УМН. 1978. Т. 33. Вып. 3(201). С. 3-48.
Бешимов Р.Б. О слабой плотности топологических пространств // ДАН РУз. 2000. № 11. С. 10-13.
Энгелькинг Р. Общая топология. М.: Мир, 1986. 752 с.
Beshimov R.B., Mukhamadiev F.G., Mamadaliev N.K. The local density and the local weak density of hyperspaces // International Journal of Geometry - Romania. 2015. V. 4. No. 1. P. 42-49.
Архангельский А.В. Топологические пространства функций. М.: МГУ, 1989. 151 с.
Hattory Y. Order and topological structures of posets of the formal balls on metric spaces // Mem. Fac. Sci. Eng. Shimane Univ. Ser. B Math. Sci. 2010. V. 43. P. 13-26.
Beshimov R.B., Mukhamadiev F.G. Cardinal properties of Hattori spaces and their hyperspaces // Questions and Answers in General Topology. 2015. V. 33. P. 33-38.
Bouziad A., Sukhacheva E. On Hattori spaces. // Commentationes Mathematicae Universitatis Carolinae. 2017. No. 2. P. 213-223. DOI: 10.14712/1213-7243.2015.199.
Yuldashev T.K., Mukhamadiev F.G. The local density and the local weak density in the space of permutation degree and in Hattori space // Ural Mathematical Journal. 2020. V. 6. No. 2. P. 108-116.
 On local weak τ-density of topological spaces | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2021. № 70. DOI: 10.17223/19988621/70/2

On local weak τ-density of topological spaces | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2021. № 70. DOI: 10.17223/19988621/70/2

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